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Results (17 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
344.1.h.a	$344$	$1$	344.h	344.h	$2$	$2$	$2$	$0.172$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+(1-\beta )q^{3}+q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
344.1.h.b	$344$	$1$	344.h	344.h	$2$	$2$	$2$	$0.172$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
1376.1.h.a	$1376$	$1$	1376.h	344.h	$2$	$2$	$2$	$0.687$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-\beta q^{3}+(1-\beta )q^{5}+\beta q^{9}+q^{15}-\beta q^{17}+\cdots\)
1376.1.h.b	$1376$	$1$	1376.h	344.h	$2$	$2$	$2$	$0.687$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+\beta q^{3}+(-1+\beta )q^{5}+\beta q^{9}+q^{15}+\cdots\)
1720.1.g.e	$1720$	$1$	1720.g	1720.g	$2$	$2$	$2$	$0.858$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-215}) \), \(\Q(\sqrt{-86}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-iq^{5}-2q^{6}+\cdots\)
1720.1.g.f	$1720$	$1$	1720.g	1720.g	$2$	$8$	$8$	$0.858$	\(\Q(\zeta_{20})\)	$D_{10}$	\(\Q(\sqrt{-86}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{20}^{5}q^{2}+(\zeta_{20}^{3}+\zeta_{20}^{7})q^{3}-q^{4}+\cdots\)
3096.1.k.a	$3096$	$1$	3096.k	344.h	$2$	$2$	$2$	$1.545$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+q^{16}+\cdots\)
3096.1.k.b	$3096$	$1$	3096.k	344.h	$2$	$2$	$2$	$1.545$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-\beta q^{5}+q^{8}-\beta q^{10}+q^{16}+\cdots\)
3096.1.bu.a	$3096$	$1$	3096.bu	3096.au	$6$	$2$	$1$	$1.545$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-86}) \)	None		$4$	$0$	\(-1\)	\(2\)	\(1\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{6}+\cdots\)
3096.1.bu.b	$3096$	$1$	3096.bu	3096.au	$6$	$2$	$1$	$1.545$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-86}) \)	None		$4$	$0$	\(1\)	\(-2\)	\(-1\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{6}+\cdots\)
3096.1.bu.c	$3096$	$1$	3096.bu	3096.au	$6$	$8$	$4$	$1.545$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-86}) \)	None		$4$	$0$	\(-4\)	\(-2\)	\(-1\)	\(0\)	$1$		\(q-\zeta_{30}^{5}q^{2}+\zeta_{30}^{12}q^{3}+\zeta_{30}^{10}q^{4}+\cdots\)
3096.1.bu.d	$3096$	$1$	3096.bu	3096.au	$6$	$8$	$4$	$1.545$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-86}) \)	None		$4$	$0$	\(4\)	\(2\)	\(1\)	\(0\)	$1$		\(q+\zeta_{30}^{5}q^{2}-\zeta_{30}^{6}q^{3}+\zeta_{30}^{10}q^{4}+\cdots\)
344.3.h.a	$344$	$3$	344.h	344.h	$2$	$5$	$5$	$9.373$	5.5.369800000.1	$_{}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(-10\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}-\beta _{2}q^{3}+4q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
344.3.h.b	$344$	$3$	344.h	344.h	$2$	$5$	$5$	$9.373$	5.5.369800000.1	$_{}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta _{2}q^{3}+4q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
2752.2.e.d	$2752$	$2$	2752.e	344.e	$2$	$20$	$20$	$21.975$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	\(\Q(\sqrt{-86}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{24}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{10}q^{3}-\beta _{5}q^{5}+(-3+\beta _{4})q^{9}+\cdots\)
1376.3.h.a	$1376$	$3$	1376.h	344.h	$2$	$5$	$5$	$37.493$	5.5.369800000.1	$_{}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}+(\beta _{1}+\beta _{3})q^{5}+(9+2\beta _{1}+\beta _{3}+\cdots)q^{9}+\cdots\)
1376.3.h.b	$1376$	$3$	1376.h	344.h	$2$	$5$	$5$	$37.493$	5.5.369800000.1	$_{}$	\(\Q(\sqrt{-86}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{3}+(-\beta _{1}-\beta _{3})q^{5}+(9+2\beta _{1}+\cdots)q^{9}+\cdots\)